Answer with Step-by-step explanation:
We are given that two events A and B are mutually exclusive.
a.For mutually exclusive events,
Therefore, event A can not occurred if event B has occurred because two events can not occur together.
Answer:No, by definition mutually exclusive events cannot occur together.
b.When two events are independent
Then , 
If two events are mutually exclusive then
Then , 
Therefore, 
Hence, we can concluded that events A and B are not independent if they are mutually exclusive.
Answer:Yes,
Vertical angles are angles opposite of eachother and therefore the same. Since angle 2 is 93° that means angle 1 must also be 93°
Answer:
f(1) = 16
Domain: 0 ≤ t ≤ 2
Step-by-step explanation:
Given
f(t) = -16t²+ 32t
Solving (a): f(1)
Substitute 1 for t in f(t)
f(t) =− 16t²+ 32t .
f(1) =− 16 * (1)²+ 32 * 1
f(1) = -16 * 1 + 32
f(1) = -16 + 32
f(1) = 16
Solving (b): The domain
The implication of the given parameter in (b) is that t ≤ 2.
Since t represents time, t can't be negative.
Hence, a reasonable domain is
0 ≤ t ≤ 2
Answer:
(5 , 7)
Step-by-step explanation:
let a = the number of adult tickets
let c = the number of children tickets
then we have to solve the following system
a + c = 12
14.5a + 9c = 135.5
we proceed by Substitution:
c = 12 - a
14.5a + 9c = 135.5
After some calculations we find
a=5 and c=7
Answer:
flip it around 9/13 reciprocal would be 13/9
